Assume that when the German plays Hungary in soccer, each team scores independently as a homogeneous Poisson process with rates λ_{Germany }= 1 and λ_{Hungar}_{y }= 3 goals per game.

a) Expected number of total goals in a single game.

b) Expected number of total goals scored in the first half, given that 2 total goals were scored in the entire game.

c) Expected number of goals Germany scored in the entire game, given that 2 total goals were scored in the first half.

What I really need help with is getting the formulas for parts b & c. I'm having difficulty forming what the Expectation formula should be. `